$\star$-Ricci-Yamabe solitons on almost coKähler manifolds

The aim of the present article is to analyze $\star$-Ricci--Yamabe solitons on almost coKähler manifolds and to characterize them when the potential vector field is pointwise collinear with the Reeb vector field. It is proved that a compact almost coKähler manifold admitting a $\star$-Ricci--Yamabe soliton under certain restriction on $\star$-scalar curvature is coKähler and $\star$-Ricci flat; in addition, that the soliton is steady. $(\kappa, \mu)$-almost coKähler manifolds admitting such solitons are also considered and finally, the obtained results are completed by non-trivial examples.